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Practical Geometry

Short Answer Type

11. Construct the following quadrilateral.
quadrilateral LIFT
LI = 4 cm
IF = 3 cm
TL = 2.5 cm
LF = 4.5 cm
IT = 4 cm

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12. Construct the following quadrilateral.
Quadrilateral GOLD
OL = 7.5 cm
GL = 6 cm
GD = 6 cm
LD = 5 cm
OD = 10 cm

466 Views

13. Construct the following quadrilateral.
Rhombus BEND
BN = 5.6 cm
DE = 6.5 cm

396 Views

14.

Construct a quadrilateral ABCD, given that BC = 4.5 cm, AD = 5.5 cm. CD = 5 cm, the diagonal AC = 5.5 cm and diagonal BD = 7 cm.
Can we draw the quadrilateral by drawing triangle ABD first and then find the fourth point C?

380 Views

15. Can you construct a quadrilateral PQRS with PQ = 3 cm, RS = 3 cm. PS = 7.5 cm, PR = 8 cm and SQ = 4 cm? Justify your answer.

733 Views

16. Construct the following quadrilateral:
Quadrilateral MORE
MO = 6 cm
OR= 4.5 cm
∠M = 60°
∠O = 105°
∠R = 105°

616 Views

Long Answer Type

17. Construct the following quadrilateral:
Quadrilateral PLAN
PL = 4 cm
LA = 6.5 cm
∠P = 90°
∠A = 110°
∠N = 85°

Steps of construction:
I. Draw a line segment AL = 6.5 cm.
II. At A, draw

AX with rightwards arrow on top

such that

angle LAX space equals space 110 degree.

III. At L, draw

LY with rightwards arrow on top

such that

angle ALY space equals space 75 degree.

Note:

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is not given, but we can determine it using angle sum property

space space because

Sum of the three given angles =

110 degree plus 90 degree plus 85 degree space equals space 285 degree

∴ The fourth angle

angle straight L space equals space 360 degree space minus space 285 degree space equals space 75 degree.

Steps of construction:I. Draw a line segment AL = 6.5 cm.I

IV. From

LY with rightwards arrow on top

, cut-off LP = 4 cm.
V. At P, draw

PZ with rightwards arrow on top

such that

angle LPZ space equals space 90 degree

Let

PZ with rightwards arrow on top

and

AX with rightwards arrow on top

intersect at N.
Thus, PLAN is the required quadrilateral.

993 Views

Short Answer Type

18. Construct the following quadrilateral:
Parallelogram HEAR
HE = 5 cm
EA = 6 cm
∠R = 85°

448 Views

19. Construct the following quadrilateral:
Rectangle OKAY
OK = 7 cm
KA = 5 cm

317 Views

20. Can you construct the following quadrilateral MIST if we have 100° at M instead of 75°?

214 Views

Previous Year Papers

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Test Yourself

Short Answer Type

Long Answer Type

17. Construct the following quadrilateral:Quadrilateral PLANPL = 4 cmLA = 6.5 cm∠P = 90°∠A = 110°∠N = 85°

Short Answer Type

17. Construct the following quadrilateral:
Quadrilateral PLAN
PL = 4 cm
LA = 6.5 cm
∠P = 90°
∠A = 110°
∠N = 85°